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A Hamiltonian circuit in a graph is a closed path that visits every vertex in the graph exactly once. A Hamiltonian circuit ends up at the vertex from where it started.

If a graph has some Hamiltonian circuit, then the graph is called a Hamiltonian graph.

Which of the following is/are a hamiltonian graph?

  1. $\text{G1}$
  2. $\text{G2}$
  3. $\text{G3}$
  4. $\text{G4}$
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A Hamiltonian circuit in a graph is a closed path that visits every vertex in the graph exactly once. (Such a closed loop must be a cycle.) A Hamiltonian circuit ends up at the vertex from where it started.

Hamiltonian Graph: If a graph has a Hamiltonian circuit, then the graph is called a Hamiltonian graph.

$\text{G1, G2, G3, G4}$ all are hamiltonian graphs.
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